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Luda [366]
3 years ago
8

What property would justify the following statement? If a = b and b = c, then a = c. Addition Property Reflexive Property Subtra

ction Property Transitive Property
Mathematics
1 answer:
romanna [79]3 years ago
6 0

Answer:

It would be the transitive property! If you look up "If a = b, and b = c, then a = c" you'd see the transitive property. I hope this helps!

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Step-by-step explanation:

this is because you can mix up the letters and it still be a different combination with the same answer.

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What is the equation of the line that is parallel to the line 5x 2y = 12 and passes through the point (−2, 4)? y = – five-halves
Oduvanchick [21]

Answer:

The answer is

y =  -  \frac{5}{2} x - 1

Step-by-step explanation:

If two equations are parallel it means that both their gradients are equal. We were given the equation:

5x +  2y = 12

in order to find the gradient of this equation that we are given we have to ensure that it is in its simplest form:

5x + 2y = 12 \\ 2y = 12 - 5x \\  \frac{2y}{2}  =  \frac{12}{2}  -  \frac{5}{2} x \\ y = 6  -  \frac{5}{2} x \: \\ or \: \\ y =   - \frac{5}{2} x + 6

Therefore the gradient of the parallel line with points (-2, 4) is also -5/2

y = mx + c \\ 4 =  - \frac{ 5}{2} ( - 2) + c \\ 4 =  \frac{10}{2}   + c \\ 4 = 5 + c \\ 4 - 5 = c \\

c =  - 1 \\ hence \: the \: equation \: for \: the \: \\  parallel \: line \: is \\  \: y =  -  \frac{5}{2} x  - 1

8 0
2 years ago
Paul needs 8 equal-length sections of rope.After cutting these 8 sections,he has 28.9 inches of rope left over from an original
Reil [10]
<h3>Answer:</h3>

19.5 inches

<h3>Step-by-step explanation:</h3>

Let r represent the length of one of the sections of rope (in inches). Then the total length of the original rope is ...

... 8r +28.9 = 184.9

... 8r = 156 . . . . . . . . . . . . subtract 28.9; next, divide by 8

... 156/8 = r = 19.5

The length of each of the sections is 19.5 inches.

6 0
3 years ago
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